10009191009101 has 32 divisors (see below), whose sum is σ = 10695189473280. Its totient is φ = 9346559150016.

The previous prime is 10009191009089. The next prime is 10009191009107. The reversal of 10009191009101 is 10190019190001.

It is a cyclic number.

It is not a de Polignac number, because 10009191009101 - 2³⁰ = 10008117267277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009191009107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122250560 + ... + 122332406.

It is an arithmetic number, because the mean of its divisors is an integer number (334224671040).

Almost surely, 2^{10009191009101} is an apocalyptic number.

It is an amenable number.

10009191009101 is a deficient number, since it is larger than the sum of its proper divisors (685998464179).

10009191009101 is a wasteful number, since it uses less digits than its factorization.

10009191009101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82553.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 10009191009101 in words is "ten trillion, nine billion, one hundred ninety-one million, nine thousand, one hundred one".